Symmetries of generalized soliton models and submodels on target space $S^2$

Details Symmetries of generalized soliton models and submodels on target space $S^2$ Symmetries of generalized soliton models and submodels on target space $S^2$

2004-12-02

arxiv.org/abs/hep-th/0412028v1

JHEP 0501 (2005) 004

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, one Latex file

Scientific paper

10.1088/1126-6708/2005/01/004

Some physically relevant non-linear models with solitons, which have target space $S^2$, are known to have submodels with infinitly many conservation laws defined by the eikonal equation. Here we calculate all the symmetries of these models and their submodels by the prolongation method. We find that for some models, like the Baby Skyrme model, the submodels have additional symmetries, whereas for others, like the Faddeev--Niemi model, they do not.

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